Can you solve the below algebraic mathematical equation?

(J+O+I+N+T)3 = JOINT

In two decks of cards, what is the least amount of cards you must take to be *guaranteed* at least one four-of-a-kind?

Nine marbles are arranged in the image below. Can you slide two marbles to form a square?

You are in a room that has three switches and a closed door. The switches control three light bulbs on the other side of the door. Once you open the door, you may never touch the switches again. How can you definitively tell which switch is connected to each of the light bulbs?

You have two buckets - one holds exactly 5 gallons and the other 3 gallons. How can you measure 4 gallons of water into the 5 gallon bucket?

(Assume you have an unlimited supply of water and that there are no measurement markings of any kind on the buckets.)

It has horns but can’t beep. It is like to bleat but It is not a sheep. What is it?

You walk into a room that contains a match, a kerosene lamp, a candle and a fireplace. What would you light first?

Two old friends, Jack and Jill, meet after a long time, and discussing as:

Jack: Hey, how are you, man?

Bill: Not bad, got married and I have three kids now.

Jack: That's awesome. How old are they?

Bill: The product of their ages is 72 and the sum of their ages is the same as your birth date.

Jack: Cool..But I still don't know.

Bill: My eldest kid just started taking piano lessons.

Jack: Oh, now I get it.

How old are Bill's kids?

What word is pronounced the same if you take away four of its five letters?

Many have heard it, but nobody has ever seen it, and it will not speak back until spoken to. What is it?